TSTP Solution File: ALG060+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG060+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 16:47:30 EDT 2022
% Result : Theorem 0.60s 71.76s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 23
% Syntax : Number of formulae : 832 ( 102 unt; 0 def)
% Number of atoms : 7165 (5068 equ)
% Maximal formula atoms : 250 ( 8 avg)
% Number of connectives : 8811 (2478 ~;5089 |;1212 &)
% ( 16 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',co1) ).
fof(ax6,axiom,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ax6) ).
fof(ax2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ax2) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ax5) ).
fof(ax3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ax3) ).
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ax4) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ax1) ).
fof(c_0_7,plain,
( epred8_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 ) ) ),
introduced(definition) ).
fof(c_0_8,plain,
( epred16_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( epred15_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ) ),
introduced(definition) ).
fof(c_0_10,negated_conjecture,
~ ~ ( ( epred8_0
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( epred16_0
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_7]),c_0_8]) ).
cnf(c_0_11,plain,
e0 = op(op(e4,e4),e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_12,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_13,plain,
( epred16_0
=> ( epred15_0
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_9]) ).
fof(c_0_14,negated_conjecture,
( ( op(e4,e4) = e4
| epred8_0 )
& ( op(e4,e4) != e4
| epred8_0 )
& ( op(e4,e4) != op(e4,e4)
| epred16_0 )
& ( op(op(e4,e4),e4) = e4
| epred16_0 )
& ( op(op(e4,e4),e4) != e4
| epred16_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])]) ).
cnf(c_0_15,plain,
e3 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_16,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_17,plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_18,plain,
op(e1,e4) = e0,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_20,plain,
( ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred15_0
| ~ epred16_0 )
& ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred15_0
| ~ epred16_0 )
& ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred15_0
| ~ epred16_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_21,negated_conjecture,
( epred16_0
| $false ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_23,plain,
op(e4,e1) = e3,
inference(rw,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_24,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_25,plain,
op(e4,unit) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_26,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
fof(c_0_27,plain,
( epred7_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_28,plain,
( epred15_0
| op(op(e4,e1),e1) = e4
| ~ epred16_0
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
epred16_0,
inference(cn,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( op(e4,e0) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_12]),c_0_24]),c_0_19]) ).
cnf(c_0_31,plain,
( op(e4,e2) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_33,plain,
( epred8_0
=> ( epred7_0
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_27]) ).
fof(c_0_34,plain,
( epred3_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 ) ) ),
introduced(definition) ).
fof(c_0_35,plain,
( epred2_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 ) ) ),
introduced(definition) ).
cnf(c_0_36,plain,
( op(e3,e1) = e4
| epred15_0
| op(e4,e2) != op(e2,e4)
| op(op(e4,e3),e4) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_23]),c_0_29])]) ).
cnf(c_0_37,plain,
op(unit,e4) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_38,plain,
op(e2,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_39,plain,
( op(e4,e0) = e0
| op(e4,e3) = e0
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_40,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_41,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_42,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_43,plain,
( ( op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e4,e4) = e2
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e4,e4) = e2
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e4,e4) = e3
| op(e2,e2) = e4
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e2,e2) = e4
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e2,e2) = e4
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e4,e4) = e3
| op(e4,e2) != e4
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e4,e2) != e4
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e4,e2) != e4
| op(e4,e4) = e1
| epred7_0
| ~ epred8_0 )
& ( op(e4,e4) = e3
| op(e4,e4) = e2
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e4,e4) = e2
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e4,e4) = e2
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e4) = e3
| op(e2,e2) = e4
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e4) = e3
| op(e4,e2) != e4
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e4,e2) != e4
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e4,e2) != e4
| op(e1,e1) = e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e4,e4) = e2
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e4,e4) = e2
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e4) = e3
| op(e2,e2) = e4
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e2,e2) = e4
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e2,e2) = e4
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e4) = e3
| op(e4,e2) != e4
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 )
& ( op(e3,e3) = e4
| op(e4,e2) != e4
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 )
& ( op(e4,e3) != e4
| op(e4,e2) != e4
| op(e4,e1) != e4
| epred7_0
| ~ epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_44,plain,
( epred3_0
=> ( epred2_0
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_35]) ).
cnf(c_0_45,plain,
( op(e3,e1) = e4
| unit = e0
| unit = e1
| unit = e3
| epred15_0
| op(op(e4,e3),e4) != e3
| op(e2,e4) != e4 ),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_46,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_37,c_0_26]) ).
cnf(c_0_47,plain,
( op(e4,e3) = e0
| unit = e0
| unit = e1
| unit = e3
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,plain,
( op(e2,e0) = e0
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_40,c_0_26]) ).
cnf(c_0_49,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_50,plain,
op(e3,e4) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_12]),c_0_23]) ).
cnf(c_0_51,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_52,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_53,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_54,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_55,plain,
( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_56,plain,
op(e1,e1) != e0,
inference(rw,[status(thm)],[c_0_42,c_0_18]) ).
cnf(c_0_57,plain,
( epred7_0
| op(e1,e1) = e4
| op(e4,e4) = e2
| op(e4,e4) = e3
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_58,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_59,negated_conjecture,
( epred8_0
| op(e4,e4) = e4 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_60,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_61,plain,
( ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e3,e3) = e1
| op(e1,e1) = e2
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e2
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e3
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e3
| op(e1,e2) != e1
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e3,e3) = e1
| op(e1,e2) != e1
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e1
| op(e1,e2) != e1
| op(e1,e1) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e3,e3) = e1
| op(e1,e1) = e2
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e1
| op(e1,e1) = e2
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e3
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e1
| op(e2,e2) = e1
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e3
| op(e1,e2) != e1
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e3,e3) = e1
| op(e1,e2) != e1
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e1
| op(e1,e2) != e1
| op(e1,e1) != e1
| epred2_0
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_44])])]) ).
cnf(c_0_62,plain,
op(e1,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_63,plain,
( op(e3,e1) = e4
| unit = e0
| unit = e1
| unit = e3
| epred15_0
| op(op(e4,e3),e4) != e3 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_64,plain,
( op(e4,e3) = e0
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_65,plain,
( op(e0,e4) = e3
| op(e2,e4) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_18]),c_0_50]),c_0_12]),c_0_24]),c_0_51]),c_0_52]) ).
cnf(c_0_66,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_67,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_68,plain,
( op(e0,e2) = e0
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_53,c_0_26]) ).
cnf(c_0_69,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_54,c_0_48]) ).
cnf(c_0_70,plain,
( op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_23]),c_0_56]),c_0_24]) ).
cnf(c_0_71,plain,
( op(e1,e1) = e4
| epred7_0
| ~ epred8_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_12]),c_0_12]),c_0_58]),c_0_52]) ).
cnf(c_0_72,negated_conjecture,
epred8_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_12]),c_0_60]) ).
cnf(c_0_73,plain,
( epred2_0
| op(e1,e1) = e1
| op(e1,e1) = e3
| ~ epred3_0
| op(e1,e2) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_74,plain,
op(e1,e1) != e3,
inference(rw,[status(thm)],[c_0_62,c_0_23]) ).
cnf(c_0_75,plain,
( op(e3,e1) = e4
| unit = e0
| unit = e1
| unit = e3
| epred15_0
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_76,plain,
( op(e0,e4) = e3
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_46]),c_0_66]) ).
cnf(c_0_77,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_78,plain,
( op(e0,e1) = e0
| op(e3,e1) = e0
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_79,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_80,plain,
( op(e1,e1) = e4
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).
cnf(c_0_81,plain,
op(e4,e2) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_82,plain,
op(e4,e1) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_83,plain,
( epred2_0
| op(e1,e1) = e2
| op(e1,e1) = e3
| ~ epred3_0
| op(e1,e1) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_84,plain,
( op(e1,e1) = e1
| epred2_0
| op(e1,e2) != e1
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_85,plain,
( op(e1,e2) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_16,c_0_26]) ).
fof(c_0_86,plain,
( epred4_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_87,plain,
( op(e3,e1) = e4
| unit = e0
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_88,plain,
( op(e3,e1) = e0
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_89,plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_90,plain,
( epred7_0
| op(e3,e1) != e4 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_92,plain,
op(e4,e2) != e1,
inference(rw,[status(thm)],[c_0_81,c_0_12]) ).
cnf(c_0_93,plain,
op(e4,e2) != e3,
inference(rw,[status(thm)],[c_0_82,c_0_23]) ).
cnf(c_0_94,plain,
( op(e1,e1) = e2
| epred2_0
| op(e1,e1) != e1
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_83,c_0_74]) ).
cnf(c_0_95,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_96,plain,
op(e2,e2) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_97,plain,
( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_98,plain,
( epred4_0
=> ( epred3_0
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_86]),c_0_34]) ).
cnf(c_0_99,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_100,plain,
( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_101,plain,
( unit = e0
| unit = e1
| unit = e3
| epred15_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_32]) ).
cnf(c_0_102,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_103,plain,
( op(e4,e0) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_23]),c_0_12]),c_0_51]),c_0_58]) ).
cnf(c_0_104,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_105,plain,
( unit = e0
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_87]) ).
cnf(c_0_106,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e2) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_107,plain,
( unit = e0
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_58]) ).
cnf(c_0_108,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_109,plain,
op(e3,e1) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_110,plain,
( op(e0,e4) = e3
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_96,c_0_65]) ).
cnf(c_0_111,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(sr,[status(thm)],[c_0_97,c_0_93]) ).
fof(c_0_112,plain,
( ( op(e2,e2) = e1
| op(e2,e2) = e0
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e0
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e0
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e1
| op(e0,e0) = e2
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e0,e0) = e2
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e1
| op(e2,e0) != e2
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e2,e0) != e2
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e2,e0) != e2
| op(e1,e1) = e4
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e1
| op(e2,e2) = e0
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e0
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e0
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e1
| op(e0,e0) = e2
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e0,e0) = e2
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e1
| op(e2,e0) != e2
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e2,e0) != e2
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e2,e0) != e2
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e1
| op(e2,e2) = e0
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e0
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e0
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e1
| op(e0,e0) = e2
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e0,e0) = e2
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e1
| op(e2,e0) != e2
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e2
| op(e2,e0) != e2
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e1) != e2
| op(e2,e0) != e2
| op(e1,e4) != e1
| epred3_0
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])]) ).
cnf(c_0_113,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_114,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_101]) ).
fof(c_0_115,plain,
( epred6_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ) ),
introduced(definition) ).
fof(c_0_116,plain,
( epred5_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_117,plain,
( op(e4,e0) = e2
| op(e4,e3) = e2
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_118,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_119,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_99,c_0_106]) ).
cnf(c_0_120,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_105]) ).
cnf(c_0_121,plain,
( epred2_0
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e1,e1) = e3
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_122,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_107]) ).
cnf(c_0_123,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_124,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_125,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_101]) ).
cnf(c_0_126,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_127,plain,
op(e3,e1) != e2,
inference(rw,[status(thm)],[c_0_109,c_0_50]) ).
cnf(c_0_128,plain,
( op(e0,e4) = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_129,plain,
( op(e0,e4) = e4
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_101]) ).
cnf(c_0_130,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_131,plain,
( epred3_0
| op(e1,e1) = e4
| op(e2,e2) = e0
| op(e2,e2) = e1
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_132,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_133,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_101]) ).
fof(c_0_134,plain,
( epred6_0
=> ( epred5_0
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_116]) ).
cnf(c_0_135,plain,
( epred15_0
| op(op(e4,e1),e1) = e4
| op(op(e4,e2),e2) = e4
| ~ epred16_0
| op(e3,e4) != op(e4,e3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_136,plain,
( op(e4,e0) = e2
| op(e4,e3) = e2
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_137,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_138,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_139,plain,
( op(e1,e1) = e1
| op(e2,e2) = e1
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_121,c_0_74]) ).
cnf(c_0_140,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_122]) ).
cnf(c_0_141,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_18]),c_0_32]) ).
cnf(c_0_142,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_18]),c_0_74]),c_0_24]) ).
cnf(c_0_143,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_144,plain,
( unit = e1
| unit = e3
| epred15_0
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_54,c_0_125]) ).
cnf(c_0_145,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_23]),c_0_127]),c_0_51]) ).
cnf(c_0_146,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred15_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_66]) ).
cnf(c_0_147,plain,
( unit = e1
| unit = e3
| epred15_0
| op(e0,e2) != e4 ),
inference(spm,[status(thm)],[c_0_130,c_0_129]) ).
cnf(c_0_148,plain,
( op(e1,e1) = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred15_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_32]),c_0_60]) ).
cnf(c_0_149,plain,
( op(e4,e0) = e2
| op(e4,e3) = e2
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_133]) ).
cnf(c_0_150,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_114]) ).
fof(c_0_151,plain,
( ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred5_0
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_134])]) ).
cnf(c_0_152,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_153,plain,
( op(op(e4,e2),e2) = e4
| op(e3,e1) = e4
| epred15_0
| op(e4,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_23]),c_0_50]),c_0_29])]) ).
cnf(c_0_154,plain,
( op(e4,e3) = e2
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_136]),c_0_137]) ).
cnf(c_0_155,plain,
( op(e4,e2) = e0
| unit = e1
| unit = e3
| epred15_0
| epred7_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_102,c_0_138]) ).
cnf(c_0_156,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_107]) ).
cnf(c_0_157,plain,
( op(e1,e1) = e1
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_60]) ).
cnf(c_0_158,plain,
( epred2_0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_159,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e3) = e4
| op(e1,e0) = e3
| op(e1,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_66]) ).
cnf(c_0_160,plain,
( op(e1,e0) = e1
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_107]) ).
cnf(c_0_161,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_101]) ).
cnf(c_0_162,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_163,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred15_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_146]),c_0_51]) ).
cnf(c_0_164,plain,
( op(e1,e1) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred15_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_165,plain,
( op(e4,e3) = e2
| unit = e1
| unit = e3
| epred15_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_149]),c_0_137]) ).
cnf(c_0_166,plain,
( op(e4,e2) = e0
| unit = e1
| unit = e3
| epred15_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_102,c_0_150]) ).
cnf(c_0_167,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_168,plain,
( epred5_0
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e3,e3) = e2
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_169,plain,
op(e3,e3) != e2,
inference(rw,[status(thm)],[c_0_152,c_0_50]) ).
cnf(c_0_170,plain,
( op(op(e4,e2),e2) = e4
| op(e3,e1) = e4
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_171,plain,
( op(e4,e2) = e0
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_118]) ).
fof(c_0_172,plain,
( epred1_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_173,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_174,plain,
( op(e1,e1) = e1
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_137]) ).
cnf(c_0_175,plain,
( op(e1,e1) = e1
| op(e1,e1) = e2
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_158,c_0_74]) ).
cnf(c_0_176,plain,
( op(e1,e1) = e4
| op(e1,e3) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_60]),c_0_52]) ).
cnf(c_0_177,plain,
( op(e1,e1) = e2
| unit = e1
| unit = e3
| epred15_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_58]) ).
cnf(c_0_178,plain,
( op(e3,e2) = e3
| op(e1,e1) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred15_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_66]) ).
cnf(c_0_179,plain,
( op(op(e4,e2),e2) = e4
| op(e3,e1) = e4
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_165]) ).
cnf(c_0_180,plain,
( op(e4,e2) = e0
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_133]) ).
cnf(c_0_181,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_167,c_0_76]) ).
cnf(c_0_182,plain,
( op(e0,e0) = e3
| epred5_0
| ~ epred6_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_168,c_0_74]),c_0_169]) ).
fof(c_0_183,plain,
( epred7_0
=> ( epred6_0
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_27]),c_0_115]) ).
cnf(c_0_184,plain,
( op(e0,e2) = e4
| op(e3,e1) = e4
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
fof(c_0_185,plain,
( epred1_0
=> ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 ) ) ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
fof(c_0_186,plain,
( epred2_0
=> ( epred1_0
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_35]),c_0_172]) ).
cnf(c_0_187,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_188,plain,
( op(e1,e1) = e1
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred2_0
| op(e1,e3) != e4
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_189,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_60]),c_0_137]) ).
cnf(c_0_190,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_191,plain,
( op(e3,e2) = e3
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred15_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_137]) ).
cnf(c_0_192,plain,
( op(e0,e2) = e4
| op(e3,e1) = e4
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_193,plain,
( unit = e0
| unit = e1
| unit = e3
| epred5_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
fof(c_0_194,plain,
( ( op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred6_0
| ~ epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_183])])]) ).
cnf(c_0_195,plain,
( op(e3,e1) = e4
| unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_184]),c_0_137]) ).
cnf(c_0_196,plain,
op(e3,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_197,plain,
( ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_185])])]) ).
fof(c_0_198,plain,
( ( op(e1,e1) = e0
| op(e0,e0) = e4
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e0,e0) = e4
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e0,e0) = e4
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e0
| op(e4,e4) = e0
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e4,e4) = e0
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e4,e4) = e0
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e0
| op(e0,e4) != e0
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e0,e4) != e0
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e0,e4) != e0
| op(e0,e0) = e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e0
| op(e0,e0) = e4
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e0,e0) = e4
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e0,e0) = e4
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e0
| op(e4,e4) = e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e4,e4) = e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e4,e4) = e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e0
| op(e0,e4) != e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e0,e4) != e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e0,e4) != e0
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e0
| op(e0,e0) = e4
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e0,e0) = e4
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e0,e0) = e4
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e0
| op(e4,e4) = e0
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e4,e4) = e0
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e4,e4) = e0
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e0
| op(e0,e4) != e0
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e1
| op(e0,e4) != e0
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e0) != e1
| op(e0,e4) != e0
| op(e0,e3) != e0
| epred1_0
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_186])]) ).
cnf(c_0_199,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_200,plain,
( op(e0,e3) = e3
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_107]) ).
cnf(c_0_201,plain,
( op(e1,e1) = e1
| op(e3,e2) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_202,plain,
( op(e3,e2) = e3
| unit = e1
| unit = e3
| epred15_0
| epred3_0
| op(e3,e1) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_203,plain,
( op(e3,e1) = e4
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_147,c_0_192]) ).
fof(c_0_204,plain,
( epred5_0
=> ( epred4_0
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_86]) ).
cnf(c_0_205,plain,
( op(e0,e0) = e0
| unit = e1
| unit = e3
| epred5_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_193]) ).
cnf(c_0_206,plain,
( epred6_0
| op(e4,e4) = e3
| op(e4,e4) = e0
| ~ epred7_0
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_207,plain,
( epred6_0
| op(e3,e3) = e3
| op(e4,e4) = e3
| op(e4,e4) = e0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_208,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_209,plain,
( unit = e1
| unit = e3
| epred15_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_195]) ).
cnf(c_0_210,plain,
op(e3,e1) != e3,
inference(rw,[status(thm)],[c_0_196,c_0_23]) ).
cnf(c_0_211,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_212,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| ~ epred1_0
| op(e0,e2) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_213,plain,
( epred1_0
| op(e0,e0) = e3
| op(e4,e4) = e0
| op(e1,e1) = e0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_214,plain,
( unit = e1
| unit = e3
| epred2_0
| op(e1,e3) != e3
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_215,plain,
( op(e3,e2) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_201]),c_0_58]) ).
cnf(c_0_216,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_217,plain,
( op(e3,e2) = e3
| unit = e1
| unit = e3
| epred15_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
fof(c_0_218,plain,
( ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| epred4_0
| ~ epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_204])])]) ).
cnf(c_0_219,plain,
( unit = e1
| unit = e3
| epred5_0
| ~ epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_205]),c_0_24]) ).
cnf(c_0_220,plain,
( epred6_0
| op(e3,e3) != e3
| ~ epred7_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_12]),c_0_12]),c_0_19]),c_0_52]) ).
cnf(c_0_221,plain,
( op(e3,e3) = e3
| epred6_0
| ~ epred7_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_12]),c_0_12]),c_0_19]),c_0_52]) ).
cnf(c_0_222,plain,
( unit = e3
| epred15_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]) ).
cnf(c_0_223,plain,
op(e3,e2) != e2,
inference(rw,[status(thm)],[c_0_211,c_0_50]) ).
cnf(c_0_224,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| ~ epred1_0
| op(e0,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_225,plain,
( op(e0,e0) = e0
| op(e0,e2) != e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[c_0_212,c_0_56]) ).
cnf(c_0_226,plain,
( op(e0,e0) = e3
| epred1_0
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_12]),c_0_56]),c_0_19]) ).
cnf(c_0_227,plain,
( op(e3,e2) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_228,plain,
( unit = e1
| unit = e3
| epred15_0
| epred3_0
| op(e3,e0) != e3
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_229,plain,
( op(e3,e0) = e3
| unit = e1
| unit = e3
| epred15_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_101]) ).
cnf(c_0_230,plain,
( epred4_0
| op(e3,e3) = e2
| op(e4,e4) = e2
| ~ epred5_0
| op(e2,e2) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_231,plain,
( epred4_0
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_232,plain,
( unit = e3
| epred5_0
| ~ epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_219]),c_0_210]) ).
cnf(c_0_233,plain,
( epred6_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_234,plain,
( epred15_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_222]),c_0_223]) ).
cnf(c_0_235,plain,
( op(e0,e0) = e2
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[c_0_224,c_0_56]) ).
cnf(c_0_236,plain,
( op(e0,e0) = e0
| unit = e0
| unit = e1
| unit = e3
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_68]) ).
cnf(c_0_237,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_238,plain,
( epred14_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_239,plain,
( unit = e0
| unit = e1
| unit = e3
| epred1_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_181,c_0_226]) ).
cnf(c_0_240,plain,
( unit = e1
| unit = e3
| epred2_0
| op(e3,e1) != e4
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_227]) ).
cnf(c_0_241,plain,
( unit = e1
| unit = e3
| epred15_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_242,plain,
( epred4_0
| op(e2,e2) != e2
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_12]),c_0_169]),c_0_58]) ).
cnf(c_0_243,plain,
( op(e2,e2) = e2
| epred4_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_12]),c_0_169]),c_0_58]) ).
cnf(c_0_244,plain,
( epred5_0
| ~ epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_232]),c_0_223]) ).
cnf(c_0_245,plain,
( epred15_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_246,plain,
( unit = e0
| unit = e1
| unit = e3
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).
fof(c_0_247,plain,
( epred15_0
=> ( epred14_0
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_238]) ).
cnf(c_0_248,plain,
( op(e0,e0) = e0
| unit = e1
| unit = e3
| epred1_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_239]) ).
cnf(c_0_249,plain,
( unit = e1
| unit = e3
| epred15_0
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_203]) ).
cnf(c_0_250,plain,
( unit = e3
| epred15_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_241]),c_0_210]) ).
cnf(c_0_251,plain,
( epred4_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_252,plain,
( epred15_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_253,plain,
( op(e0,e0) = e0
| unit = e1
| unit = e3
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_246]) ).
fof(c_0_254,plain,
( epred9_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ) ),
introduced(definition) ).
fof(c_0_255,plain,
( ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred14_0
| ~ epred15_0 )
& ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred14_0
| ~ epred15_0 )
& ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred14_0
| ~ epred15_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_247])]) ).
cnf(c_0_256,plain,
( unit = e1
| unit = e3
| epred1_0
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_248]),c_0_24]) ).
cnf(c_0_257,plain,
( unit = e3
| epred15_0
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_249]),c_0_210]) ).
cnf(c_0_258,plain,
( epred15_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_250]),c_0_223]) ).
cnf(c_0_259,plain,
( epred15_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_260,plain,
( unit = e1
| unit = e3
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_253]),c_0_237]) ).
fof(c_0_261,plain,
( epred9_0
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ) ),
inference(split_equiv,[status(thm)],[c_0_254]) ).
cnf(c_0_262,plain,
( epred14_0
| op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4
| ~ epred15_0
| $false ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_263,plain,
( unit = e3
| epred1_0
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_256]),c_0_210]) ).
cnf(c_0_264,plain,
( epred15_0
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_257]),c_0_223]) ).
cnf(c_0_265,plain,
( epred15_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_266,plain,
( unit = e3
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_260]),c_0_210]) ).
fof(c_0_267,plain,
( ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred9_0 )
& ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred9_0 )
& ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred9_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred9_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred9_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred9_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_261])]) ).
cnf(c_0_268,plain,
( op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4
| epred14_0
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_262]) ).
cnf(c_0_269,plain,
( epred1_0
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_263]),c_0_223]) ).
cnf(c_0_270,plain,
( epred15_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_271,plain,
~ epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_266]),c_0_223]) ).
cnf(c_0_272,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_273,plain,
( op(op(e0,e1),e1) = e0
| ~ epred9_0
| $false
| op(e2,e0) != op(e0,e2) ),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_274,plain,
( op(op(e4,e0),e0) = e4
| op(e2,e4) = e3
| epred14_0
| ~ epred15_0 ),
inference(rw,[status(thm)],[c_0_268,c_0_50]) ).
cnf(c_0_275,plain,
epred15_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).
cnf(c_0_276,plain,
op(e2,e1) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_277,plain,
( op(e0,e4) = e4
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_18]),c_0_50]),c_0_12]),c_0_32]),c_0_137]),c_0_60]) ).
cnf(c_0_278,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_279,plain,
( op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2)
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_273]) ).
cnf(c_0_280,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_281,plain,
( op(e2,e2) = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_108,c_0_26]) ).
cnf(c_0_282,plain,
( op(op(e4,e0),e0) = e4
| op(e2,e4) = e3
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_275])]) ).
cnf(c_0_283,plain,
( op(e4,e0) = e2
| op(e4,e3) = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_31]),c_0_137]) ).
cnf(c_0_284,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_285,plain,
( op(e0,e4) = e4
| op(e2,e1) != e4 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_286,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_23]),c_0_66]) ).
cnf(c_0_287,plain,
( op(op(e0,e1),e1) = e0
| unit = e0
| unit = e1
| unit = e3
| op(e0,e2) != e0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_48]) ).
cnf(c_0_288,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_289,plain,
( op(e2,e0) = e4
| op(e2,e4) = e3
| op(e4,e3) = e2
| unit = e0
| unit = e1
| unit = e3
| epred14_0 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_290,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[c_0_284,c_0_46]) ).
cnf(c_0_291,plain,
( op(e0,e4) = e4
| op(e0,e1) = e4
| op(e1,e1) = e4
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_292,plain,
( op(op(e0,e1),e1) = e0
| unit = e0
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_287,c_0_68]) ).
cnf(c_0_293,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_288,c_0_145]) ).
cnf(c_0_294,plain,
( op(e2,e0) = e4
| op(e2,e4) = e3
| unit = e0
| unit = e1
| unit = e3
| epred14_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_289]),c_0_237]) ).
cnf(c_0_295,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e3,e1) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_296,plain,
( op(e2,e1) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_143,c_0_26]) ).
cnf(c_0_297,plain,
( op(e2,e1) = e0
| op(e1,e1) = e2
| unit = e0
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_298,plain,
( op(e2,e0) = e4
| unit = e0
| unit = e1
| unit = e3
| epred14_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_294]),c_0_66]) ).
cnf(c_0_299,plain,
( epred14_0
| ~ epred15_0
| $false
| op(e4,e3) != op(e3,e4)
| op(e0,e4) != op(e4,e0) ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_300,plain,
( op(e1,e1) = e4
| op(e3,e1) = e4
| unit = e0
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_295]),c_0_23]),c_0_24]) ).
cnf(c_0_301,plain,
( op(e1,e1) = e2
| unit = e0
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_19]) ).
cnf(c_0_302,plain,
( unit = e0
| unit = e1
| unit = e3
| epred14_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_298]),c_0_32]) ).
cnf(c_0_303,plain,
( epred14_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != op(e3,e4)
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_299]) ).
cnf(c_0_304,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_99,c_0_31]) ).
cnf(c_0_305,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_306,plain,
op(e4,e2) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_307,plain,
op(e1,e0) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_308,plain,
( op(e3,e1) = e4
| unit = e0
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_137]) ).
cnf(c_0_309,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred14_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_302]) ).
cnf(c_0_310,plain,
( epred14_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != e2
| ~ epred15_0 ),
inference(rw,[status(thm)],[c_0_303,c_0_50]) ).
cnf(c_0_311,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_312,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e4,e3) != e4 ),
inference(spm,[status(thm)],[c_0_306,c_0_31]) ).
cnf(c_0_313,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_314,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_315,plain,
op(e1,e0) != e0,
inference(rw,[status(thm)],[c_0_307,c_0_18]) ).
cnf(c_0_316,plain,
( ~ epred9_0
| $false
| op(op(e0,e1),e0) != e1
| op(e2,e0) != op(e0,e2) ),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_317,plain,
( unit = e0
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_308]),c_0_32]) ).
cnf(c_0_318,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| unit = e1
| unit = e3
| epred14_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_309]) ).
cnf(c_0_319,plain,
( epred14_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_275])]) ).
cnf(c_0_320,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_321,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_322,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e3,e0) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_311]),c_0_32]) ).
cnf(c_0_323,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_187,c_0_26]) ).
cnf(c_0_324,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_325,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_326,plain,
( op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_327,plain,
( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_316]) ).
cnf(c_0_328,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_317]) ).
cnf(c_0_329,plain,
( op(e4,e2) = e0
| unit = e1
| unit = e3
| epred14_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_102,c_0_318]) ).
cnf(c_0_330,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| epred14_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_302]) ).
cnf(c_0_331,plain,
( unit = e1
| unit = e3
| epred14_0
| op(e0,e4) != e4
| op(e4,e3) != e2 ),
inference(spm,[status(thm)],[c_0_319,c_0_309]) ).
cnf(c_0_332,plain,
( op(e0,e4) = e4
| unit = e1
| unit = e3
| epred14_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_302]) ).
cnf(c_0_333,plain,
( op(e4,e0) = e0
| op(e4,e3) = e0
| op(e4,e0) = e2
| op(e4,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_103]),c_0_237]) ).
cnf(c_0_334,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_335,plain,
op(e0,e4) != e1,
inference(rw,[status(thm)],[c_0_320,c_0_12]) ).
cnf(c_0_336,plain,
( op(e1,e0) = e4
| op(e3,e0) = e4
| unit = e0
| unit = e1
| unit = e3
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_337,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_66]) ).
cnf(c_0_338,plain,
op(e0,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_339,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_340,plain,
( op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_341,plain,
( unit = e1
| unit = e3
| op(op(e0,e1),e0) != e1
| op(e0,e2) != e2
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_342,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_317]) ).
cnf(c_0_343,plain,
( op(e4,e2) = e0
| unit = e1
| unit = e3
| epred14_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_344,plain,
( unit = e1
| unit = e3
| epred14_0
| op(e4,e3) != e2 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_345,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| unit = e1
| unit = e3
| epred14_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_309]),c_0_32]),c_0_137]) ).
cnf(c_0_346,plain,
( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_347,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_348,plain,
( op(e1,e0) = e4
| op(e3,e0) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_349,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_350,plain,
op(e0,e1) != e3,
inference(rw,[status(thm)],[c_0_338,c_0_23]) ).
cnf(c_0_351,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_290,c_0_339]) ).
cnf(c_0_352,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_353,plain,
( op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| epred7_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_80]) ).
cnf(c_0_354,plain,
( unit = e1
| unit = e3
| op(op(e0,e1),e0) != e1
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_355,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_317]) ).
fof(c_0_356,plain,
( epred13_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_357,plain,
( unit = e1
| unit = e3
| epred14_0
| op(e4,e3) != e0 ),
inference(spm,[status(thm)],[c_0_306,c_0_343]) ).
cnf(c_0_358,plain,
( op(e4,e3) = e0
| unit = e1
| unit = e3
| epred14_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_359,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e4,e3) = e2 ),
inference(sr,[status(thm)],[c_0_346,c_0_169]) ).
cnf(c_0_360,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_361,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_347]),c_0_19]) ).
cnf(c_0_362,plain,
( op(e1,e1) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_281]),c_0_237]),c_0_58]) ).
cnf(c_0_363,plain,
( op(e3,e0) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_325,c_0_348]) ).
fof(c_0_364,plain,
( epred10_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_365,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_366,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_367,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_368,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e3) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_351]),c_0_32]) ).
cnf(c_0_369,plain,
( epred7_0
| op(e1,e3) != e4 ),
inference(spm,[status(thm)],[c_0_352,c_0_80]) ).
cnf(c_0_370,plain,
( op(e3,e0) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_348]),c_0_60]),c_0_137]),c_0_66]) ).
cnf(c_0_371,plain,
( unit = e1
| unit = e3
| op(e1,e0) != e1
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_372,plain,
( op(e1,e0) = e1
| unit = e1
| unit = e3
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_317]) ).
fof(c_0_373,plain,
( epred14_0
=> ( epred13_0
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_238]),c_0_356]) ).
cnf(c_0_374,plain,
( unit = e1
| unit = e3
| epred14_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_375,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_64]),c_0_237]) ).
cnf(c_0_376,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_360,c_0_296]) ).
cnf(c_0_377,plain,
( op(e1,e0) = e4
| op(e3,e0) = e4
| op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_361]),c_0_60]) ).
cnf(c_0_378,plain,
( unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(e1,e3) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_352,c_0_362]) ).
cnf(c_0_379,plain,
( op(e3,e0) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_363,c_0_362]) ).
fof(c_0_380,plain,
( epred10_0
=> ( epred9_0
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_364]),c_0_254]) ).
cnf(c_0_381,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_382,plain,
( op(e0,e1) = e4
| op(e0,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_383,plain,
( op(e3,e0) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_384,plain,
( unit = e1
| unit = e3
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
fof(c_0_385,plain,
( ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred13_0
| ~ epred14_0 )
& ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred13_0
| ~ epred14_0 )
& ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred13_0
| ~ epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_373])]) ).
cnf(c_0_386,plain,
( unit = e3
| epred14_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_374]),c_0_210]) ).
cnf(c_0_387,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_375]),c_0_51]) ).
cnf(c_0_388,plain,
( op(e1,e0) = e4
| op(e3,e0) = e4
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_389,plain,
( op(e3,e0) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
fof(c_0_390,plain,
( ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred9_0
| ~ epred10_0 )
& ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred9_0
| ~ epred10_0 )
& ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred9_0
| ~ epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_380])]) ).
cnf(c_0_391,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| epred7_0 ),
inference(spm,[status(thm)],[c_0_381,c_0_80]) ).
cnf(c_0_392,plain,
( op(e0,e1) = e4
| op(e0,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0 ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_393,plain,
( unit = e3
| ~ epred9_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_384]),c_0_210]) ).
cnf(c_0_394,plain,
( epred13_0
| op(op(e3,e1),e1) = e3
| ~ epred14_0
| op(op(e3,e0),e3) != e0
| op(e2,e3) != op(e3,e2) ),
inference(split_conjunct,[status(thm)],[c_0_385]) ).
cnf(c_0_395,plain,
epred14_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_386]),c_0_223]) ).
cnf(c_0_396,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_397,plain,
( op(e1,e3) = e2
| op(e1,e0) = e4
| op(e3,e0) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_58]) ).
cnf(c_0_398,plain,
( op(e1,e0) = e3
| op(e1,e3) = e3
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_85]),c_0_52]) ).
cnf(c_0_399,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_400,plain,
( op(e0,e1) = e4
| op(e0,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_382,c_0_389]) ).
cnf(c_0_401,plain,
( epred9_0
| ~ epred10_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_390]) ).
cnf(c_0_402,plain,
( op(e0,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_32]),c_0_60]),c_0_137]) ).
cnf(c_0_403,plain,
~ epred9_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_393]),c_0_223]) ).
cnf(c_0_404,plain,
( op(op(e3,e1),e1) = e3
| epred13_0
| op(e2,e3) != op(e3,e2)
| op(op(e3,e0),e3) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_395])]) ).
cnf(c_0_405,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_406,plain,
( op(e1,e3) = e2
| op(e3,e0) = e4
| unit = e0
| unit = e1
| unit = e3
| op(e1,e3) != e4 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_407,plain,
( op(e1,e3) = e3
| op(e3,e0) = e4
| op(e1,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_348]),c_0_66]) ).
cnf(c_0_408,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_409,plain,
op(e4,e0) != e1,
inference(rw,[status(thm)],[c_0_399,c_0_12]) ).
cnf(c_0_410,plain,
( op(e0,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(e1,e1) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_365,c_0_400]) ).
cnf(c_0_411,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e4
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_403]) ).
fof(c_0_412,plain,
( epred12_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ) ),
introduced(definition) ).
cnf(c_0_413,plain,
( op(e0,e1) = e4
| op(e0,e3) = e4
| op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_361]),c_0_60]) ).
cnf(c_0_414,plain,
( op(op(e3,e1),e1) = e3
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| op(op(e3,e0),e3) != e0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_404,c_0_323]) ).
cnf(c_0_415,plain,
( op(e3,e2) = e3
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_208,c_0_26]) ).
cnf(c_0_416,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_405,c_0_323]) ).
cnf(c_0_417,plain,
( op(e3,e0) = e4
| op(e1,e3) = e3
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_137]) ).
cnf(c_0_418,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[c_0_408,c_0_409]) ).
cnf(c_0_419,plain,
( op(e0,e3) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_410,c_0_362]) ).
cnf(c_0_420,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_411,c_0_383]) ).
fof(c_0_421,plain,
( epred11_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ) ),
introduced(definition) ).
fof(c_0_422,plain,
( epred13_0
=> ( epred12_0
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_356]),c_0_412]) ).
cnf(c_0_423,plain,
( op(e0,e3) = e4
| op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_365,c_0_413]) ).
cnf(c_0_424,plain,
( op(op(e3,e1),e1) = e3
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| op(op(e3,e0),e3) != e0 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_425,plain,
( op(e3,e0) = e4
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_416,c_0_417]) ).
cnf(c_0_426,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_418]),c_0_19]) ).
cnf(c_0_427,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e4
| ~ epred10_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_419]),c_0_403]) ).
cnf(c_0_428,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e4
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_76]) ).
fof(c_0_429,plain,
( epred11_0
=> ( epred10_0
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_421]),c_0_364]) ).
cnf(c_0_430,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_431,plain,
( ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred12_0
| ~ epred13_0 )
& ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred12_0
| ~ epred13_0 )
& ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred12_0
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_422])]) ).
cnf(c_0_432,plain,
( op(e0,e3) = e4
| op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_423,c_0_362]) ).
cnf(c_0_433,plain,
( op(op(e3,e1),e1) = e3
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| op(e4,e3) != e0 ),
inference(spm,[status(thm)],[c_0_424,c_0_425]) ).
cnf(c_0_434,plain,
( op(e0,e1) = e4
| op(e0,e3) = e4
| op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_426]),c_0_60]) ).
cnf(c_0_435,plain,
( op(op(e3,e1),e1) = e3
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0
| op(e4,e3) != e0 ),
inference(spm,[status(thm)],[c_0_424,c_0_383]) ).
cnf(c_0_436,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(op(e0,e4),e0) != e4
| op(op(e1,e0),e1) != e0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_427,c_0_389]) ).
cnf(c_0_437,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(op(e1,e0),e1) != e0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_383]) ).
fof(c_0_438,plain,
( ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred10_0
| ~ epred11_0 )
& ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred10_0
| ~ epred11_0 )
& ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred10_0
| ~ epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_429])]) ).
cnf(c_0_439,plain,
op(e1,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_440,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_18]),c_0_237]) ).
cnf(c_0_441,plain,
( epred12_0
| op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2
| ~ epred13_0
| $false ),
inference(split_conjunct,[status(thm)],[c_0_431]) ).
cnf(c_0_442,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_443,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_432]) ).
cnf(c_0_444,plain,
( op(op(e3,e1),e1) = e3
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred13_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_64]) ).
cnf(c_0_445,plain,
( op(e1,e0) = e4
| op(e3,e0) = e4
| op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_426]),c_0_60]) ).
cnf(c_0_446,plain,
( op(e0,e3) = e4
| op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred7_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_434]),c_0_32]),c_0_60]),c_0_137]) ).
cnf(c_0_447,plain,
( op(op(e3,e1),e1) = e3
| op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_64]) ).
cnf(c_0_448,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e4
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_436,c_0_76]) ).
cnf(c_0_449,plain,
( op(e3,e3) = e4
| op(e1,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(e3,e1) != e0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_437,c_0_398]) ).
cnf(c_0_450,plain,
( epred10_0
| op(op(e1,e3),e3) = e1
| ~ epred11_0
| $false
| op(e2,e1) != op(e1,e2) ),
inference(split_conjunct,[status(thm)],[c_0_438]) ).
cnf(c_0_451,plain,
( op(e4,e3) = e2
| unit = e0
| unit = e1
| unit = e3
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_439,c_0_283]) ).
cnf(c_0_452,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e3) = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_85]),c_0_58]) ).
cnf(c_0_453,plain,
( op(op(e2,e3),e3) = e2
| op(op(e2,e4),e4) = e2
| epred12_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_441]) ).
cnf(c_0_454,plain,
( epred13_0
| ~ epred14_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e1),e3) != e1
| op(e2,e3) != op(e3,e2) ),
inference(split_conjunct,[status(thm)],[c_0_385]) ).
cnf(c_0_455,plain,
( op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(e3,e3) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_443]) ).
cnf(c_0_456,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_88]),c_0_350]) ).
cnf(c_0_457,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_458,plain,
( op(e3,e0) = e4
| op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_325,c_0_445]) ).
cnf(c_0_459,plain,
( op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(e3,e3) != e4 ),
inference(spm,[status(thm)],[c_0_442,c_0_446]) ).
cnf(c_0_460,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_88]),c_0_350]) ).
cnf(c_0_461,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(op(e1,e0),e1) != e0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_448,c_0_389]) ).
cnf(c_0_462,plain,
( op(e3,e3) = e4
| op(e1,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_449,c_0_88]) ).
cnf(c_0_463,plain,
( op(op(e1,e3),e3) = e1
| epred10_0
| op(e2,e1) != op(e1,e2)
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_450]) ).
cnf(c_0_464,plain,
( op(e4,e3) = e2
| op(e1,e1) = e2
| op(e1,e3) = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_465,plain,
( op(op(e2,e3),e3) = e2
| op(e0,e4) = e4
| epred12_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_277]),c_0_12]),c_0_58]) ).
cnf(c_0_466,plain,
( epred13_0
| op(e0,e3) != op(e3,e0)
| op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_395])]) ).
cnf(c_0_467,plain,
( op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
cnf(c_0_468,plain,
( unit = e0
| unit = e1
| unit = e3
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_457,c_0_85]) ).
cnf(c_0_469,plain,
( op(e3,e0) = e4
| op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_458,c_0_362]) ).
cnf(c_0_470,plain,
( op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_471,plain,
( op(e0,e3) = e4
| op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_365,c_0_434]) ).
cnf(c_0_472,plain,
( op(e3,e3) = e4
| op(e1,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(e3,e1) != e0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_461,c_0_398]) ).
cnf(c_0_473,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_416,c_0_462]) ).
cnf(c_0_474,plain,
( op(op(e1,e3),e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred10_0
| op(e1,e2) != e1
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_296]) ).
cnf(c_0_475,plain,
( op(e1,e1) = e2
| op(e1,e3) = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_464]),c_0_237]) ).
fof(c_0_476,plain,
( epred12_0
=> ( epred11_0
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_412]),c_0_421]) ).
cnf(c_0_477,plain,
( op(e0,e4) = e4
| unit = e0
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_323]),c_0_169]) ).
cnf(c_0_478,plain,
op(e2,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_479,plain,
op(e1,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_480,plain,
op(e2,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_481,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(e3,e0) != e1
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_466,c_0_467]) ).
cnf(c_0_482,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_483,plain,
( op(e3,e0) = e4
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
cnf(c_0_484,plain,
( op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_367,c_0_361]) ).
cnf(c_0_485,plain,
( op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_470]) ).
cnf(c_0_486,plain,
( op(e0,e3) = e4
| op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_362]) ).
cnf(c_0_487,plain,
( op(e3,e3) = e4
| op(e1,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_472,c_0_88]) ).
cnf(c_0_488,plain,
( op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_459,c_0_473]) ).
cnf(c_0_489,plain,
( op(op(e1,e3),e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred10_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_474,c_0_85]) ).
cnf(c_0_490,plain,
( op(e1,e3) = e2
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_475]),c_0_137]) ).
fof(c_0_491,plain,
( ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred11_0
| ~ epred12_0 )
& ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred11_0
| ~ epred12_0 )
& ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred11_0
| ~ epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_476])]) ).
cnf(c_0_492,plain,
( unit = e0
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_477]) ).
cnf(c_0_493,plain,
( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_494,plain,
op(e2,e4) != e1,
inference(rw,[status(thm)],[c_0_478,c_0_12]) ).
cnf(c_0_495,plain,
op(e2,e4) != e0,
inference(rw,[status(thm)],[c_0_479,c_0_18]) ).
cnf(c_0_496,plain,
op(e2,e4) != e2,
inference(rw,[status(thm)],[c_0_480,c_0_50]) ).
cnf(c_0_497,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(op(e3,e1),e3) != e1
| op(e3,e2) != e3
| op(e3,e0) != e1
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_323]) ).
cnf(c_0_498,plain,
( op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(e3,e3) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_482,c_0_483]) ).
cnf(c_0_499,plain,
( op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_500,plain,
( op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(e3,e3) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_486]) ).
cnf(c_0_501,plain,
( op(e3,e3) = e4
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_416,c_0_487]) ).
cnf(c_0_502,plain,
( op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_488]) ).
cnf(c_0_503,plain,
( op(e2,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_490]) ).
cnf(c_0_504,plain,
( epred11_0
| op(op(e1,e4),e4) = e1
| ~ epred12_0
| op(e0,e2) != op(e2,e0)
| op(op(e2,e1),e2) != e1 ),
inference(split_conjunct,[status(thm)],[c_0_491]) ).
cnf(c_0_505,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_492]) ).
cnf(c_0_506,plain,
( op(e2,e4) = e3
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_493,c_0_494]),c_0_495]),c_0_496]) ).
cnf(c_0_507,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(op(e3,e1),e3) != e1
| op(e3,e0) != e1
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_415]) ).
cnf(c_0_508,plain,
( op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_498,c_0_456]) ).
cnf(c_0_509,plain,
( op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_499]) ).
cnf(c_0_510,plain,
( op(e1,e0) = e1
| op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_500,c_0_501]) ).
cnf(c_0_511,plain,
( op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_502]) ).
cnf(c_0_512,plain,
( unit = e0
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_503]),c_0_52]) ).
cnf(c_0_513,plain,
( op(e0,e4) = e1
| epred11_0
| op(e2,e0) != op(e0,e2)
| op(op(e2,e1),e2) != e1
| ~ epred12_0 ),
inference(rw,[status(thm)],[c_0_504,c_0_18]) ).
cnf(c_0_514,plain,
( op(e4,e2) = e0
| op(e4,e2) = e2
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_505]) ).
cnf(c_0_515,plain,
( op(e2,e4) = e3
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[c_0_284,c_0_506]) ).
cnf(c_0_516,plain,
( op(e0,e4) = e4
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_492]) ).
cnf(c_0_517,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(op(e3,e1),e3) != e1
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_507,c_0_508]) ).
cnf(c_0_518,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0
| op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_466,c_0_509]) ).
cnf(c_0_519,plain,
( op(e3,e0) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_510]) ).
cnf(c_0_520,plain,
( epred9_0
| op(op(e0,e4),e4) = e0
| ~ epred10_0
| op(e3,e0) != op(e0,e3)
| op(op(e1,e0),e1) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_390]) ).
cnf(c_0_521,plain,
( op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_511]) ).
cnf(c_0_522,plain,
( op(e1,e0) = e1
| op(e1,e0) = e3
| epred7_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_396,c_0_353]) ).
cnf(c_0_523,plain,
( op(e1,e3) = e2
| unit = e0
| unit = e1
| unit = e3
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_475]),c_0_137]) ).
cnf(c_0_524,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_512]) ).
cnf(c_0_525,plain,
( unit = e0
| unit = e1
| unit = e3
| epred11_0
| op(op(e2,e1),e2) != e1
| op(e0,e2) != e0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_48]),c_0_335]) ).
cnf(c_0_526,plain,
( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_527,plain,
( op(e4,e2) = e0
| unit = e1
| unit = e3
| epred12_0
| op(e0,e2) != e2
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_514]) ).
cnf(c_0_528,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_492]) ).
cnf(c_0_529,plain,
( op(e2,e4) = e3
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_530,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(e0,e3) != e1
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_517,c_0_88]) ).
cnf(c_0_531,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0
| op(op(e3,e1),e3) != e1
| op(e3,e2) != e3
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_518,c_0_323]) ).
cnf(c_0_532,plain,
( op(e0,e1) = e1
| op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_519]) ).
cnf(c_0_533,plain,
( op(op(e0,e4),e4) = e0
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e1
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_521]),c_0_403]) ).
cnf(c_0_534,plain,
( op(e1,e0) = e1
| op(e1,e0) = e3
| unit = e0
| unit = e1
| unit = e3
| epred7_0 ),
inference(spm,[status(thm)],[c_0_522,c_0_523]) ).
cnf(c_0_535,plain,
( unit = e1
| unit = e3
| epred10_0
| epred3_0
| op(e2,e1) != e2
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_524]) ).
cnf(c_0_536,plain,
( unit = e0
| unit = e1
| unit = e3
| epred11_0
| op(op(e2,e1),e2) != e1
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_525,c_0_68]) ).
cnf(c_0_537,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[c_0_284,c_0_526]) ).
cnf(c_0_538,plain,
op(e2,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_539,plain,
( op(e4,e2) = e0
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_540,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_541,plain,
( unit = e1
| unit = e3
| epred12_0
| op(e2,e2) != e3
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_529]) ).
cnf(c_0_542,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_530,c_0_467]) ).
cnf(c_0_543,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0
| op(op(e3,e1),e3) != e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_531,c_0_415]) ).
cnf(c_0_544,plain,
( op(e0,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_532]) ).
cnf(c_0_545,plain,
( op(op(e0,e4),e4) = e0
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(op(e1,e0),e1) != e0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_533,c_0_502]) ).
cnf(c_0_546,plain,
( op(e1,e0) = e3
| unit = e0
| unit = e1
| unit = e3
| epred7_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_534]) ).
cnf(c_0_547,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_512]) ).
cnf(c_0_548,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_535,c_0_145]) ).
cnf(c_0_549,plain,
( op(e1,e0) = e1
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_512]) ).
cnf(c_0_550,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_512]) ).
cnf(c_0_551,plain,
( unit = e0
| unit = e1
| unit = e3
| epred11_0
| op(e1,e2) != e1
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_536,c_0_296]) ).
cnf(c_0_552,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_492]) ).
cnf(c_0_553,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_505]) ).
cnf(c_0_554,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_537,c_0_516]) ).
cnf(c_0_555,plain,
( unit = e1
| unit = e3
| epred12_0
| op(e2,e2) != e0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_538,c_0_539]) ).
cnf(c_0_556,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[c_0_540,c_0_495]) ).
cnf(c_0_557,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_541,c_0_111]) ).
cnf(c_0_558,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_542]) ).
cnf(c_0_559,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_542]) ).
cnf(c_0_560,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0
| op(op(e3,e1),e3) != e1 ),
inference(spm,[status(thm)],[c_0_543,c_0_485]) ).
cnf(c_0_561,plain,
( op(op(e0,e4),e4) = e0
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e1
| ~ epred10_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_544]),c_0_403]) ).
cnf(c_0_562,plain,
( op(op(e0,e4),e4) = e0
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| op(e3,e1) != e0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_545,c_0_546]) ).
cnf(c_0_563,plain,
( epred10_0
| op(op(e1,e2),e2) = e1
| ~ epred11_0
| $false
| op(op(e1,e3),e1) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_438]) ).
cnf(c_0_564,plain,
( op(e1,e1) = e2
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_58]) ).
cnf(c_0_565,plain,
( op(e1,e1) = e4
| op(e1,e3) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_549]),c_0_60]),c_0_52]) ).
cnf(c_0_566,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_550]) ).
cnf(c_0_567,plain,
( unit = e0
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_551,c_0_85]) ).
cnf(c_0_568,plain,
( unit = e1
| unit = e3
| epred12_0
| op(e2,e1) != e2
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_552]) ).
cnf(c_0_569,plain,
( op(e1,e1) = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_553]),c_0_32]),c_0_60]) ).
cnf(c_0_570,plain,
( op(e1,e1) = e4
| op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_554]),c_0_32]),c_0_60]) ).
cnf(c_0_571,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e3) = e0
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_555,c_0_556]) ).
cnf(c_0_572,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_557]),c_0_51]) ).
cnf(c_0_573,plain,
( op(e0,e4) = e4
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_542]) ).
cnf(c_0_574,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_558]) ).
cnf(c_0_575,plain,
( unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(e2,e1) != e2
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_559]) ).
cnf(c_0_576,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_560,c_0_88]) ).
cnf(c_0_577,plain,
( op(op(e0,e4),e4) = e0
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(op(e1,e0),e1) != e0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_561,c_0_519]) ).
cnf(c_0_578,plain,
( op(op(e0,e4),e4) = e0
| unit = e0
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_562,c_0_88]) ).
cnf(c_0_579,plain,
( op(op(e1,e2),e2) = e1
| epred10_0
| op(op(e1,e3),e1) != e3
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_563]) ).
cnf(c_0_580,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_137]) ).
cnf(c_0_581,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_512]) ).
cnf(c_0_582,plain,
( op(e1,e1) = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_566]),c_0_32]),c_0_60]) ).
cnf(c_0_583,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_567]) ).
cnf(c_0_584,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_567]) ).
cnf(c_0_585,plain,
( epred12_0
| op(op(e2,e3),e3) = e2
| ~ epred13_0
| $false
| op(op(e2,e4),e2) != e4 ),
inference(split_conjunct,[status(thm)],[c_0_431]) ).
cnf(c_0_586,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_492]) ).
cnf(c_0_587,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_568,c_0_145]) ).
cnf(c_0_588,plain,
( op(e1,e1) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_569]),c_0_137]) ).
cnf(c_0_589,plain,
( op(e1,e1) = e4
| op(e2,e1) = e4
| op(e2,e3) = e4
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_570]),c_0_137]) ).
cnf(c_0_590,plain,
( op(e2,e1) = e0
| op(e2,e3) = e0
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_571]),c_0_237]) ).
cnf(c_0_591,plain,
( unit = e1
| unit = e3
| epred12_0
| op(e1,e0) != e4
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_439,c_0_505]) ).
cnf(c_0_592,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e3) = e4
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_572]),c_0_66]) ).
cnf(c_0_593,plain,
( unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(e0,e2) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_573]) ).
cnf(c_0_594,plain,
( op(e1,e1) = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_574]),c_0_32]),c_0_60]) ).
cnf(c_0_595,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_542]) ).
cnf(c_0_596,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_575,c_0_145]) ).
cnf(c_0_597,plain,
( op(e1,e0) = e1
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_542]) ).
cnf(c_0_598,plain,
( unit = e0
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_576,c_0_509]) ).
cnf(c_0_599,plain,
( op(op(e0,e4),e4) = e0
| op(e1,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| op(e3,e1) != e0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_577,c_0_398]) ).
cnf(c_0_600,plain,
( unit = e0
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_76]),c_0_50]),c_0_237]) ).
cnf(c_0_601,plain,
( op(op(e1,e2),e2) = e1
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_23])]) ).
cnf(c_0_602,plain,
( op(e1,e1) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_582]),c_0_137]) ).
cnf(c_0_603,plain,
( op(e2,e3) = e1
| unit = e0
| unit = e1
| unit = e3
| epred10_0
| epred7_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_523]) ).
cnf(c_0_604,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_583]) ).
cnf(c_0_605,plain,
( unit = e1
| unit = e3
| epred11_0
| op(e2,e1) != e2
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_584]) ).
cnf(c_0_606,plain,
( op(op(e2,e3),e3) = e2
| epred12_0
| op(op(e2,e4),e2) != e4
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_585]) ).
cnf(c_0_607,plain,
( op(e1,e1) = e2
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_587]),c_0_58]) ).
cnf(c_0_608,plain,
( op(e1,e1) = e4
| op(e3,e2) = e4
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_572]),c_0_66]) ).
cnf(c_0_609,plain,
( op(e1,e1) = e4
| op(e2,e3) = e4
| op(e2,e3) = e0
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_32]) ).
cnf(c_0_610,plain,
( op(e1,e1) = e4
| op(e1,e3) = e4
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_591,c_0_592]) ).
cnf(c_0_611,plain,
( op(e1,e1) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_593,c_0_594]) ).
cnf(c_0_612,plain,
( op(e1,e1) = e2
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_58]) ).
cnf(c_0_613,plain,
( op(e1,e1) = e4
| op(e1,e3) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_597]),c_0_60]),c_0_52]) ).
cnf(c_0_614,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_598]) ).
cnf(c_0_615,plain,
( op(op(e0,e4),e4) = e0
| op(e1,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_599,c_0_88]) ).
cnf(c_0_616,plain,
( epred9_0
| ~ epred10_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(e0,e1) != op(e1,e0) ),
inference(split_conjunct,[status(thm)],[c_0_390]) ).
cnf(c_0_617,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_600]) ).
cnf(c_0_618,plain,
( op(e0,e3) = e3
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_512]) ).
cnf(c_0_619,plain,
( op(e1,e3) = e3
| op(e1,e1) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_602]),c_0_92]) ).
cnf(c_0_620,plain,
( unit = e0
| unit = e1
| unit = e3
| epred10_0
| epred7_0
| ~ epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_603]),c_0_52]) ).
cnf(c_0_621,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_567]) ).
cnf(c_0_622,plain,
( op(e1,e1) = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred11_0
| epred3_0
| ~ epred12_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_604]),c_0_32]),c_0_60]) ).
cnf(c_0_623,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_567]) ).
cnf(c_0_624,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_605,c_0_145]) ).
cnf(c_0_625,plain,
( op(e1,e0) = e1
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_567]) ).
cnf(c_0_626,plain,
( epred11_0
| op(op(e1,e4),e4) = e1
| op(op(e2,e1),e1) = e2
| ~ epred12_0
| op(e0,e2) != op(e2,e0) ),
inference(split_conjunct,[status(thm)],[c_0_491]) ).
cnf(c_0_627,plain,
( op(op(e2,e3),e3) = e2
| unit = e1
| unit = e3
| epred12_0
| op(e3,e2) != e4
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_606,c_0_529]) ).
cnf(c_0_628,plain,
( op(e3,e2) = e4
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_608]),c_0_137]) ).
cnf(c_0_629,plain,
( op(e1,e1) = e4
| op(e2,e3) = e0
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| op(e1,e3) != e4
| ~ epred13_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_405,c_0_609]) ).
cnf(c_0_630,plain,
( op(e1,e3) = e4
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_610]),c_0_137]) ).
cnf(c_0_631,plain,
( epred13_0
| op(op(e3,e1),e1) = e3
| ~ epred14_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e2),e3) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_385]) ).
cnf(c_0_632,plain,
( op(e1,e1) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(e1,e3) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_611]) ).
cnf(c_0_633,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_613]),c_0_137]) ).
cnf(c_0_634,plain,
( unit = e1
| unit = e3
| epred13_0
| epred7_0
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_54,c_0_614]) ).
cnf(c_0_635,plain,
( op(e1,e3) = e3
| unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_76]),c_0_50]),c_0_237]) ).
cnf(c_0_636,plain,
( unit = e1
| unit = e3
| epred7_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(e1,e0) != e1
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_617]),c_0_403]) ).
cnf(c_0_637,plain,
( op(e1,e0) = e1
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_600]) ).
cnf(c_0_638,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_639,plain,
( unit = e1
| unit = e3
| epred10_0
| epred3_0
| op(e1,e3) != e3
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_618]) ).
cnf(c_0_640,plain,
( op(e1,e3) = e3
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_619]),c_0_137]) ).
cnf(c_0_641,plain,
( op(e2,e0) = e2
| unit = e1
| unit = e3
| epred10_0
| epred7_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_620]) ).
cnf(c_0_642,plain,
( op(e1,e1) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred11_0
| epred3_0
| ~ epred12_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_622]),c_0_137]) ).
cnf(c_0_643,plain,
( op(e1,e1) = e2
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_624]),c_0_58]) ).
cnf(c_0_644,plain,
( op(e1,e1) = e4
| op(e1,e3) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_625]),c_0_60]),c_0_52]) ).
cnf(c_0_645,plain,
( op(op(e2,e1),e1) = e2
| op(e0,e4) = e1
| epred11_0
| op(e2,e0) != op(e0,e2)
| ~ epred12_0 ),
inference(rw,[status(thm)],[c_0_626,c_0_18]) ).
cnf(c_0_646,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e3,e1) = e4
| op(e0,e1) = e0
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_70]),c_0_32]) ).
cnf(c_0_647,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_107]) ).
cnf(c_0_648,plain,
( op(op(e2,e3),e3) = e2
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_627,c_0_628]) ).
cnf(c_0_649,plain,
( op(e1,e1) = e4
| op(e2,e3) = e0
| op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_629,c_0_630]) ).
cnf(c_0_650,plain,
( op(op(e3,e1),e1) = e3
| epred13_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e2),e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_631,c_0_395])]) ).
cnf(c_0_651,plain,
( op(e0,e3) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_542]) ).
cnf(c_0_652,plain,
( op(e1,e1) = e4
| op(e3,e2) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_632,c_0_633]) ).
cnf(c_0_653,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_598]) ).
cnf(c_0_654,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_634,c_0_145]) ).
cnf(c_0_655,plain,
( unit = e0
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_416,c_0_635]) ).
cnf(c_0_656,plain,
( unit = e1
| unit = e3
| epred7_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_636,c_0_637]) ).
cnf(c_0_657,plain,
( op(e0,e3) = e3
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_600]) ).
cnf(c_0_658,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e3) = e4
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_638,c_0_141]) ).
cnf(c_0_659,plain,
( op(e3,e2) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_639,c_0_640]) ).
cnf(c_0_660,plain,
( unit = e1
| unit = e3
| epred10_0
| epred7_0
| op(e2,e1) != e2
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_641]) ).
cnf(c_0_661,plain,
( op(e1,e1) = e4
| op(e3,e2) = e4
| unit = e1
| unit = e3
| epred11_0
| epred3_0
| op(e1,e3) != e4
| ~ epred12_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_642]) ).
cnf(c_0_662,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_644]),c_0_137]) ).
cnf(c_0_663,plain,
( op(op(e2,e1),e1) = e2
| unit = e1
| unit = e3
| epred11_0
| op(e0,e2) != e2
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_645,c_0_584]),c_0_335]) ).
cnf(c_0_664,plain,
( op(e1,e1) = e4
| op(e3,e1) = e4
| op(e3,e1) = e0
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_647]),c_0_60]),c_0_19]) ).
cnf(c_0_665,plain,
( op(e0,e3) = e3
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_492]) ).
cnf(c_0_666,plain,
( op(e0,e3) = e2
| op(e3,e2) = e3
| op(e1,e1) = e4
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_648,c_0_649]) ).
cnf(c_0_667,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(op(e3,e2),e3) != e2
| op(e3,e0) != e3
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_651]) ).
cnf(c_0_668,plain,
( op(e3,e0) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_542]) ).
cnf(c_0_669,plain,
( unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(e1,e3) != e3
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_651]) ).
cnf(c_0_670,plain,
( op(e3,e2) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_652]),c_0_137]) ).
cnf(c_0_671,plain,
( op(e0,e2) = e2
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_542]) ).
cnf(c_0_672,plain,
( op(e1,e1) = e2
| unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_654]),c_0_58]) ).
cnf(c_0_673,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_655]) ).
cnf(c_0_674,plain,
( unit = e1
| unit = e3
| epred7_0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != e3
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_657]) ).
cnf(c_0_675,plain,
( op(e3,e0) = e3
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_600]) ).
cnf(c_0_676,plain,
( epred10_0
| op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1
| ~ epred11_0
| $false ),
inference(split_conjunct,[status(thm)],[c_0_438]) ).
cnf(c_0_677,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e3) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_658,c_0_659]) ).
cnf(c_0_678,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e3
| epred10_0
| epred7_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_620]) ).
cnf(c_0_679,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| unit = e1
| unit = e3
| epred10_0
| epred7_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_660,c_0_145]) ).
cnf(c_0_680,plain,
( op(e0,e3) = e3
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_567]) ).
cnf(c_0_681,plain,
( op(e1,e1) = e4
| op(e3,e2) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred11_0
| epred3_0
| ~ epred12_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_661,c_0_662]) ).
cnf(c_0_682,plain,
( op(op(e2,e1),e1) = e2
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_663,c_0_621]) ).
cnf(c_0_683,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_684,plain,
( op(e3,e1) = e4
| op(e3,e1) = e0
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_664]),c_0_60]),c_0_137]) ).
cnf(c_0_685,plain,
( op(e3,e2) = e3
| op(e1,e1) = e4
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_666]),c_0_51]) ).
cnf(c_0_686,plain,
( unit = e1
| unit = e3
| epred12_0
| epred7_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_607]),c_0_137]) ).
cnf(c_0_687,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| unit = e3
| epred13_0
| epred2_0
| op(op(e3,e2),e3) != e2
| op(e3,e0) != e3
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_200]) ).
cnf(c_0_688,plain,
( op(e3,e0) = e3
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_107]) ).
cnf(c_0_689,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(op(e3,e2),e3) != e2
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_667,c_0_668]) ).
cnf(c_0_690,plain,
( op(e3,e2) = e4
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_669,c_0_670]) ).
cnf(c_0_691,plain,
( op(e4,e0) = e2
| op(e4,e3) = e2
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_671]) ).
cnf(c_0_692,plain,
( op(e1,e1) = e4
| op(e3,e1) = e4
| op(e3,e1) = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_595]),c_0_60]),c_0_19]) ).
cnf(c_0_693,plain,
( unit = e1
| unit = e3
| epred13_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_672]),c_0_137]) ).
cnf(c_0_694,plain,
( epred9_0
| ~ epred10_0
| op(e3,e0) != op(e0,e3)
| op(op(e0,e4),e0) != e4
| op(e0,e1) != op(e1,e0) ),
inference(split_conjunct,[status(thm)],[c_0_390]) ).
cnf(c_0_695,plain,
( unit = e1
| unit = e3
| epred3_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| op(e1,e0) != e1
| ~ epred10_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_673]),c_0_403]) ).
cnf(c_0_696,plain,
( op(e1,e0) = e1
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_655]) ).
cnf(c_0_697,plain,
( unit = e1
| unit = e3
| epred7_0
| op(op(e0,e4),e0) != e4
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_674,c_0_675]) ).
cnf(c_0_698,plain,
( op(e0,e4) = e4
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_600]) ).
cnf(c_0_699,plain,
( unit = e1
| unit = e3
| epred2_0
| op(e1,e0) != e4
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_439,c_0_122]) ).
cnf(c_0_700,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e3) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_658,c_0_227]) ).
cnf(c_0_701,plain,
( op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1
| epred10_0
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_676]) ).
cnf(c_0_702,plain,
( op(e1,e1) = e4
| op(e1,e3) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_677]),c_0_60]) ).
cnf(c_0_703,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_704,plain,
( op(e1,e1) = e2
| unit = e1
| unit = e3
| epred10_0
| epred7_0
| ~ epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_679]),c_0_58]) ).
cnf(c_0_705,plain,
( unit = e1
| unit = e3
| epred11_0
| op(e1,e3) != e3
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_680]) ).
cnf(c_0_706,plain,
( op(e3,e2) = e4
| op(e1,e3) = e3
| unit = e1
| unit = e3
| epred11_0
| epred3_0
| ~ epred12_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_681]),c_0_137]) ).
cnf(c_0_707,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e3,e1) = e4
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_286]),c_0_23]),c_0_51]) ).
cnf(c_0_708,plain,
( unit = e1
| unit = e3
| epred11_0
| epred7_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_643]),c_0_137]) ).
cnf(c_0_709,plain,
( op(e2,e3) = e0
| unit = e1
| unit = e3
| epred12_0
| op(e3,e1) != e0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_683,c_0_590]) ).
cnf(c_0_710,plain,
( op(e3,e1) = e0
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_684]) ).
cnf(c_0_711,plain,
( op(e3,e2) = e3
| unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_685]),c_0_137]) ).
cnf(c_0_712,plain,
( unit = e3
| epred12_0
| epred7_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_686]),c_0_210]) ).
cnf(c_0_713,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| unit = e3
| epred13_0
| epred2_0
| op(op(e3,e2),e3) != e2
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_687,c_0_688]) ).
cnf(c_0_714,plain,
( op(e4,e0) = e2
| op(e4,e3) = e2
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_156]) ).
cnf(c_0_715,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(e4,e3) != e2
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_689,c_0_690]) ).
cnf(c_0_716,plain,
( op(e4,e3) = e2
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_691]),c_0_137]) ).
cnf(c_0_717,plain,
( unit = e1
| unit = e3
| epred13_0
| epred3_0
| op(e3,e1) != e4
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_690]) ).
cnf(c_0_718,plain,
( op(e3,e1) = e4
| op(e3,e1) = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_692]),c_0_137]) ).
cnf(c_0_719,plain,
( unit = e3
| epred13_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_693]),c_0_210]) ).
cnf(c_0_720,plain,
( unit = e1
| unit = e3
| epred2_0
| op(e0,e3) != op(e3,e0)
| op(op(e0,e4),e0) != e4
| op(e1,e0) != e1
| ~ epred10_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_647]),c_0_403]) ).
cnf(c_0_721,plain,
( unit = e1
| unit = e3
| epred3_0
| op(op(e0,e3),e0) != e3
| op(op(e0,e4),e0) != e4
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_695,c_0_696]) ).
cnf(c_0_722,plain,
( op(e0,e3) = e3
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_655]) ).
cnf(c_0_723,plain,
( unit = e1
| unit = e3
| epred7_0
| op(e4,e0) != e4
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_697,c_0_698]) ).
cnf(c_0_724,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_600]) ).
cnf(c_0_725,plain,
( op(e1,e1) = e4
| op(e1,e3) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_699,c_0_700]) ).
cnf(c_0_726,plain,
( op(op(e1,e3),e3) = e1
| op(e3,e2) = e1
| op(e1,e0) = e3
| op(e1,e3) = e3
| epred10_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_701,c_0_142]) ).
cnf(c_0_727,plain,
( op(e1,e3) = e4
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_702]),c_0_137]) ).
cnf(c_0_728,plain,
op(e4,e3) != e1,
inference(rw,[status(thm)],[c_0_703,c_0_12]) ).
cnf(c_0_729,plain,
( unit = e1
| unit = e3
| epred10_0
| epred7_0
| ~ epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_704]),c_0_137]) ).
cnf(c_0_730,plain,
( op(e3,e2) = e4
| unit = e1
| unit = e3
| epred11_0
| epred3_0
| ~ epred12_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_705,c_0_706]) ).
cnf(c_0_731,plain,
( op(e1,e1) = e4
| op(e3,e1) = e4
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_707]),c_0_60]) ).
cnf(c_0_732,plain,
( unit = e3
| epred11_0
| epred7_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_708]),c_0_210]) ).
cnf(c_0_733,plain,
( op(op(e2,e3),e3) = e2
| unit = e1
| unit = e3
| epred12_0
| epred2_0
| ~ epred13_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_627,c_0_227]) ).
cnf(c_0_734,plain,
( op(e2,e3) = e0
| unit = e1
| unit = e3
| epred12_0
| epred2_0
| ~ epred13_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_709,c_0_710]) ).
cnf(c_0_735,plain,
( unit = e1
| unit = e3
| epred12_0
| epred3_0
| op(e3,e0) != e3
| ~ epred13_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_711]) ).
cnf(c_0_736,plain,
( op(e3,e0) = e3
| unit = e1
| unit = e3
| epred12_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_492]) ).
cnf(c_0_737,plain,
( epred12_0
| epred7_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_712]),c_0_223]) ).
cnf(c_0_738,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| unit = e3
| epred13_0
| epred2_0
| op(e4,e3) != e2
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_713,c_0_227]) ).
cnf(c_0_739,plain,
( op(e4,e3) = e2
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_714]),c_0_137]) ).
cnf(c_0_740,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_715,c_0_716]) ).
cnf(c_0_741,plain,
( op(e3,e1) = e0
| unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_717,c_0_718]) ).
cnf(c_0_742,plain,
( epred13_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_719]),c_0_223]) ).
cnf(c_0_743,plain,
( unit = e1
| unit = e3
| epred2_0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != e3
| op(e1,e0) != e1
| ~ epred10_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_720,c_0_200]) ).
cnf(c_0_744,plain,
( unit = e1
| unit = e3
| epred3_0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != e3
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_721,c_0_722]) ).
cnf(c_0_745,plain,
( op(e3,e0) = e3
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_655]) ).
cnf(c_0_746,plain,
( unit = e1
| unit = e3
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_723,c_0_724]) ).
cnf(c_0_747,plain,
( op(e1,e3) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_725]),c_0_60]),c_0_137]) ).
cnf(c_0_748,plain,
( op(e3,e2) = e1
| op(e1,e0) = e3
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_727]),c_0_728]),c_0_66]) ).
cnf(c_0_749,plain,
( unit = e3
| epred10_0
| epred7_0
| ~ epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_729]),c_0_210]) ).
cnf(c_0_750,plain,
( unit = e1
| unit = e3
| epred11_0
| epred3_0
| op(e3,e1) != e4
| ~ epred12_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_730]) ).
cnf(c_0_751,plain,
( op(e3,e1) = e4
| unit = e1
| unit = e3
| epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_731]),c_0_137]) ).
cnf(c_0_752,plain,
( epred11_0
| epred7_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_732]),c_0_223]) ).
cnf(c_0_753,plain,
( op(e0,e3) = e2
| unit = e1
| unit = e3
| epred12_0
| epred2_0
| ~ epred13_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_733,c_0_734]) ).
cnf(c_0_754,plain,
( unit = e1
| unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_755,plain,
( epred12_0
| epred6_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_737]) ).
cnf(c_0_756,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| unit = e3
| epred13_0
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_738,c_0_739]) ).
cnf(c_0_757,plain,
( unit = e1
| unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_740,c_0_741]),c_0_350]) ).
cnf(c_0_758,plain,
( epred13_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_742]) ).
cnf(c_0_759,plain,
( unit = e1
| unit = e3
| epred2_0
| op(op(e0,e4),e0) != e4
| op(e1,e0) != e1
| ~ epred10_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_743,c_0_688]) ).
cnf(c_0_760,plain,
( unit = e1
| unit = e3
| epred3_0
| op(op(e0,e4),e0) != e4
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_744,c_0_745]) ).
cnf(c_0_761,plain,
( op(e0,e4) = e4
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_655]) ).
cnf(c_0_762,plain,
( unit = e3
| epred7_0
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_746]),c_0_210]) ).
cnf(c_0_763,plain,
( op(e3,e2) = e1
| op(e1,e0) = e3
| unit = e1
| unit = e3
| epred10_0
| epred2_0
| ~ epred11_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_747]),c_0_728]),c_0_66]) ).
cnf(c_0_764,plain,
( op(e3,e2) = e1
| unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_748]),c_0_52]) ).
cnf(c_0_765,plain,
( epred10_0
| epred7_0
| ~ epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_749]),c_0_223]) ).
cnf(c_0_766,plain,
( unit = e1
| unit = e3
| epred11_0
| epred3_0
| ~ epred12_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_750,c_0_751]) ).
cnf(c_0_767,plain,
( epred11_0
| epred6_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_752]) ).
cnf(c_0_768,plain,
( unit = e1
| unit = e3
| epred12_0
| epred2_0
| ~ epred13_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_753]),c_0_51]) ).
cnf(c_0_769,plain,
( unit = e3
| epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_754]),c_0_210]) ).
cnf(c_0_770,plain,
( epred12_0
| epred5_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_755]) ).
cnf(c_0_771,plain,
( unit = e1
| unit = e3
| epred13_0
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_710]),c_0_350]) ).
cnf(c_0_772,plain,
( unit = e3
| epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_757]),c_0_210]) ).
cnf(c_0_773,plain,
( epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_758]) ).
cnf(c_0_774,plain,
( unit = e1
| unit = e3
| epred2_0
| op(op(e0,e4),e0) != e4
| ~ epred10_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_759,c_0_160]) ).
cnf(c_0_775,plain,
( op(e0,e4) = e4
| unit = e1
| unit = e3
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_107]) ).
cnf(c_0_776,plain,
( unit = e1
| unit = e3
| epred3_0
| op(e4,e0) != e4
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_760,c_0_761]) ).
cnf(c_0_777,plain,
( op(e4,e0) = e4
| unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_655]) ).
cnf(c_0_778,plain,
( epred7_0
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_762]),c_0_223]) ).
cnf(c_0_779,plain,
( op(e3,e2) = e1
| unit = e1
| unit = e3
| epred10_0
| epred2_0
| ~ epred11_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_763]),c_0_52]) ).
cnf(c_0_780,plain,
( unit = e1
| unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_764]),c_0_60]) ).
cnf(c_0_781,plain,
( epred10_0
| epred6_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_765]) ).
cnf(c_0_782,plain,
( unit = e1
| unit = e3
| epred11_0
| epred2_0
| ~ epred12_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_751]) ).
cnf(c_0_783,plain,
( unit = e3
| epred11_0
| epred3_0
| ~ epred12_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_766]),c_0_210]) ).
cnf(c_0_784,plain,
( epred11_0
| epred5_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_767]) ).
cnf(c_0_785,plain,
( unit = e3
| epred12_0
| epred2_0
| ~ epred13_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_768]),c_0_210]) ).
cnf(c_0_786,plain,
( epred12_0
| epred3_0
| ~ epred13_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_769]),c_0_223]) ).
cnf(c_0_787,plain,
( epred12_0
| epred4_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_770]) ).
cnf(c_0_788,plain,
( unit = e3
| epred13_0
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_771]),c_0_210]) ).
cnf(c_0_789,plain,
( epred13_0
| epred3_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_772]),c_0_223]) ).
cnf(c_0_790,plain,
( epred13_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_773]) ).
cnf(c_0_791,plain,
( unit = e1
| unit = e3
| epred2_0
| op(e4,e0) != e4
| ~ epred10_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_774,c_0_775]) ).
cnf(c_0_792,plain,
( unit = e1
| unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_776,c_0_777]) ).
cnf(c_0_793,plain,
( epred6_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_778]) ).
cnf(c_0_794,plain,
( unit = e1
| unit = e3
| epred10_0
| epred2_0
| ~ epred11_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_779]),c_0_60]) ).
cnf(c_0_795,plain,
( unit = e3
| epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_780]),c_0_210]) ).
cnf(c_0_796,plain,
( epred10_0
| epred5_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_781]) ).
cnf(c_0_797,plain,
( unit = e3
| epred11_0
| epred2_0
| ~ epred12_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_782]),c_0_210]) ).
cnf(c_0_798,plain,
( epred11_0
| epred3_0
| ~ epred12_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_783]),c_0_223]) ).
cnf(c_0_799,plain,
( epred11_0
| epred4_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_784]) ).
cnf(c_0_800,plain,
( epred12_0
| epred2_0
| ~ epred13_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_785]),c_0_223]) ).
cnf(c_0_801,plain,
( epred12_0
| epred3_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_786,c_0_787]) ).
cnf(c_0_802,plain,
( epred13_0
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_788]),c_0_223]) ).
cnf(c_0_803,plain,
( epred13_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_789,c_0_790]) ).
cnf(c_0_804,plain,
( unit = e1
| unit = e3
| epred2_0
| ~ epred10_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_791,c_0_122]) ).
cnf(c_0_805,plain,
( unit = e3
| epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_792]),c_0_210]) ).
cnf(c_0_806,plain,
( epred5_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_793]) ).
cnf(c_0_807,plain,
( unit = e3
| epred10_0
| epred2_0
| ~ epred11_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_794]),c_0_210]) ).
cnf(c_0_808,plain,
( epred10_0
| epred3_0
| ~ epred11_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_795]),c_0_223]) ).
cnf(c_0_809,plain,
( epred10_0
| epred4_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_796]) ).
cnf(c_0_810,plain,
( epred11_0
| epred2_0
| ~ epred12_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_797]),c_0_223]) ).
cnf(c_0_811,plain,
( epred11_0
| epred3_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_798,c_0_799]) ).
cnf(c_0_812,plain,
( epred12_0
| epred2_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_800,c_0_801]) ).
cnf(c_0_813,plain,
( epred13_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_802,c_0_803]) ).
cnf(c_0_814,plain,
( unit = e3
| epred2_0
| ~ epred10_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_804]),c_0_210]) ).
cnf(c_0_815,plain,
( epred3_0
| ~ epred10_0
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_805]),c_0_223]) ).
cnf(c_0_816,plain,
( epred4_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_806]) ).
cnf(c_0_817,plain,
( epred10_0
| epred2_0
| ~ epred11_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_807]),c_0_223]) ).
cnf(c_0_818,plain,
( epred10_0
| epred3_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_808,c_0_809]) ).
cnf(c_0_819,plain,
( epred11_0
| epred2_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_810,c_0_811]) ).
cnf(c_0_820,plain,
( epred12_0
| ~ epred13_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_812]),c_0_271]) ).
cnf(c_0_821,plain,
epred13_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_813]),c_0_271]) ).
cnf(c_0_822,plain,
( epred2_0
| ~ epred10_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_814]),c_0_223]) ).
cnf(c_0_823,plain,
( epred3_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_815,c_0_816]) ).
cnf(c_0_824,plain,
( epred10_0
| epred2_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_817,c_0_818]) ).
cnf(c_0_825,plain,
( epred11_0
| ~ epred12_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_819]),c_0_271]) ).
cnf(c_0_826,plain,
epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_820,c_0_821])]) ).
cnf(c_0_827,plain,
( epred2_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_822,c_0_823]) ).
cnf(c_0_828,plain,
( epred10_0
| ~ epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_824]),c_0_271]) ).
cnf(c_0_829,plain,
epred11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_825,c_0_826])]) ).
cnf(c_0_830,plain,
~ epred10_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_827]),c_0_271]) ).
cnf(c_0_831,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_828,c_0_829])]),c_0_830]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG060+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 11:35:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.42 eprover: CPU time limit exceeded, terminating
% 0.48/46.42 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.44 eprover: CPU time limit exceeded, terminating
% 0.59/69.44 eprover: CPU time limit exceeded, terminating
% 0.59/69.44 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.59/69.44
% 0.59/69.46 eprover: CPU time limit exceeded, terminating
% 0.60/71.76 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.60/71.76
% 0.60/71.76 # Failure: Resource limit exceeded (time)
% 0.60/71.76 # OLD status Res
% 0.60/71.76 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.60/71.76 # Preprocessing time : 0.030 s
% 0.60/71.76 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.60/71.76
% 0.60/71.76 # Failure: Resource limit exceeded (time)
% 0.60/71.76 # OLD status Res
% 0.60/71.76 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.60/71.76 # Preprocessing time : 0.017 s
% 0.60/71.76 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.60/71.76
% 0.60/71.76 # Failure: Resource limit exceeded (time)
% 0.60/71.76 # OLD status Res
% 0.60/71.76 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.60/71.76 # Preprocessing time : 0.016 s
% 0.60/71.76 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.60/71.76 # Preprocessing time : 0.016 s
% 0.60/71.76
% 0.60/71.76 # Proof found!
% 0.60/71.76 # SZS status Theorem
% 0.60/71.76 # SZS output start CNFRefutation
% See solution above
% 0.60/71.76 # Proof object total steps : 832
% 0.60/71.76 # Proof object clause steps : 775
% 0.60/71.76 # Proof object formula steps : 57
% 0.60/71.76 # Proof object conjectures : 7
% 0.60/71.76 # Proof object clause conjectures : 4
% 0.60/71.76 # Proof object formula conjectures : 3
% 0.60/71.76 # Proof object initial clauses used : 133
% 0.60/71.76 # Proof object initial formulas used : 7
% 0.60/71.76 # Proof object generating inferences : 566
% 0.60/71.76 # Proof object simplifying inferences : 356
% 0.60/71.76 # Training examples: 0 positive, 0 negative
% 0.60/71.76 # Parsed axioms : 7
% 0.60/71.76 # Removed by relevancy pruning/SinE : 0
% 0.60/71.76 # Initial clauses : 601
% 0.60/71.76 # Removed in clause preprocessing : 0
% 0.60/71.76 # Initial clauses in saturation : 601
% 0.60/71.76 # Processed clauses : 20093
% 0.60/71.76 # ...of these trivial : 42
% 0.60/71.76 # ...subsumed : 15527
% 0.60/71.76 # ...remaining for further processing : 4524
% 0.60/71.76 # Other redundant clauses eliminated : 0
% 0.60/71.76 # Clauses deleted for lack of memory : 0
% 0.60/71.76 # Backward-subsumed : 1980
% 0.60/71.76 # Backward-rewritten : 396
% 0.60/71.76 # Generated clauses : 109677
% 0.60/71.76 # ...of the previous two non-trivial : 102703
% 0.60/71.76 # Contextual simplify-reflections : 0
% 0.60/71.76 # Paramodulations : 109201
% 0.60/71.76 # Factorizations : 460
% 0.60/71.76 # Equation resolutions : 0
% 0.60/71.76 # Current number of processed clauses : 2132
% 0.60/71.76 # Positive orientable unit clauses : 21
% 0.60/71.76 # Positive unorientable unit clauses: 0
% 0.60/71.76 # Negative unit clauses : 109
% 0.60/71.76 # Non-unit-clauses : 2002
% 0.60/71.76 # Current number of unprocessed clauses: 34209
% 0.60/71.76 # ...number of literals in the above : 367103
% 0.60/71.76 # Current number of archived formulas : 0
% 0.60/71.76 # Current number of archived clauses : 2392
% 0.60/71.76 # Clause-clause subsumption calls (NU) : 242338
% 0.60/71.76 # Rec. Clause-clause subsumption calls : 11345
% 0.60/71.76 # Non-unit clause-clause subsumptions : 7163
% 0.60/71.76 # Unit Clause-clause subsumption calls : 10727
% 0.60/71.76 # Rewrite failures with RHS unbound : 0
% 0.60/71.76 # BW rewrite match attempts : 10
% 0.60/71.76 # BW rewrite match successes : 10
% 0.60/71.76 # Condensation attempts : 0
% 0.60/71.76 # Condensation successes : 0
% 0.60/71.76 # Termbank termtop insertions : 2156076
% 0.60/71.76
% 0.60/71.76 # -------------------------------------------------
% 0.60/71.76 # User time : 1.814 s
% 0.60/71.76 # System time : 0.016 s
% 0.60/71.76 # Total time : 1.830 s
% 0.60/71.76 # Maximum resident set size: 44196 pages
% 0.60/92.45 eprover: CPU time limit exceeded, terminating
% 0.60/92.45 eprover: CPU time limit exceeded, terminating
% 0.60/92.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/92.47 eprover: No such file or directory
% 0.60/92.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.47 eprover: No such file or directory
% 0.60/92.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/92.47 eprover: No such file or directory
% 0.60/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.48 eprover: No such file or directory
% 0.60/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/92.48 eprover: No such file or directory
% 0.60/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/92.48 eprover: No such file or directory
% 0.60/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.48 eprover: No such file or directory
% 0.60/92.48 eprover: CPU time limit exceeded, terminating
% 0.60/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/92.48 eprover: No such file or directory
% 0.60/92.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.49 eprover: eprover: No such file or directory
% 0.60/92.49 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/92.49 eprover: No such file or directory
% 0.60/92.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/92.49 eprover: No such file or directory
% 0.60/92.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.49 eprover: No such file or directory
% 0.60/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.60/92.50 eprover: No such file or directory
% 0.60/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.50 eprover: No such file or directory
% 0.60/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.50 eprover: No such file or directory
% 0.60/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.50 eprover: No such file or directory
% 0.60/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.51 eprover: No such file or directory
% 0.60/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.51 eprover: No such file or directory
% 0.60/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.51 eprover: No such file or directory
% 0.60/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.51 eprover: No such file or directory
% 0.60/92.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.52 eprover: No such file or directory
% 0.60/92.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.53 eprover: No such file or directory
% 0.60/92.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.53 eprover: No such file or directory
% 0.60/92.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.54 eprover: No such file or directory
%------------------------------------------------------------------------------